A sample contains `10^(-2)kg` each of two substances A and B with half lives 4 sec and 8 sec respectively. Their atomic wights are in the ratio `1:2`. Find the amounts of A and B after an interval of 16 seconds.
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To solve the problem of finding the amounts of substances A and B after an interval of 16 seconds, we will follow these steps:
### Step 1: Identify the given data
- Mass of substance A, \( M_{A0} = 10^{-2} \) kg
- Mass of substance B, \( M_{B0} = 10^{-2} \) kg
- Half-life of substance A, \( T_{1/2A} = 4 \) seconds
- Half-life of substance B, \( T_{1/2B} = 8 \) seconds
- Total time elapsed, \( t = 16 \) seconds
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